Lebesgue–Cech Dimensionality and Baire Classification of Vector-Valued Separately Continuous Mappings

  • A. K. Kalancha
  • V. K. Maslyuchenko

Abstract

For a metrizable space X with finite Lebesgue–Cech dimensionality, a topological space Y, and a topological vector space Z, we consider mappings f: X × YZ continuous in the first variable and belonging to the Baire class α in the second variable for all values of the first variable from a certain set everywhere dense in X. We prove that every mapping of this type belongs to the Baire class α + 1.
Published
25.11.2003
How to Cite
KalanchaA. K., and MaslyuchenkoV. K. “Lebesgue–Cech Dimensionality and Baire Classification of Vector-Valued Separately Continuous Mappings”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 55, no. 11, Nov. 2003, pp. 1576-9, https://umj.imath.kiev.ua/index.php/umj/article/view/4025.
Section
Short communications